{
  "annotation_id": "97e65765-265f-4022-aa97-66d9bb5e9119",
  "date_created": "2026-03-02T18:02:16.541000Z",
  "date_modified": "2026-03-02T18:02:16.541000Z",
  "file_hash": "c8271e2b8b116009238d1e0de3056c86383f27b3e61d8c142dbd65c143a14df0",
  "private": false,
  "record": {
    "abstract": "We provide a class of bound entangled states that have positive distillable\nsecure key rate. The smallest state of this kind is $4 \\otimes 4$, which shows\nthat peculiar security contained in bound entangled states does not need high\ndimensional systems. We show, that for these states a positive key rate can be\nobtained by {\\it one-way} Devetak-Winter protocol. Subsequently the volume of\nbound entangled key-distillable states in arbitrary dimension is shown to be\nnonzero. We provide a scheme of verification of cryptographic quality of\nexperimentally prepared state in terms of local observables. Proposed set of 7\ncollective settings is proven to be optimal in number of settings.",
    "arxiv_id": "quant-ph/0506203",
    "authors": [
      "Karol Horodecki",
      "Lukasz Pankowski",
      "Michal Horodecki",
      "Pawel Horodecki"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1109/TIT.2008.921709",
    "journal_ref": "IEEE Trans. Inf. Theory 54, 2621 (2008)",
    "title": "Low dimensional bound entanglement with one-way distillable   cryptographic key",
    "url": "https://arxiv.org/abs/quant-ph/0506203"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fdc8eb82-7dc1-4746-adae-89f0d7d74c60",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}